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Finding the Fourth Proportional to 652,905.16, 978,766.82 and 232,082.62

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Solution

The fourth proportional to 652,905.16, 978,766.82 and 232,082.62 is: 347,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,905.16 : 978,766.82 = 232,082.62 : x
  2. Step 2: Convert to fraction form
    652,905.16/978,766.82 = 232,082.62/x
  3. Step 3: Cross multiply
    652,905.16x = 978,766.82 × 232,082.62
  4. Step 4: Simplify right side
    652,905.16x = 227,154,767,954.67
  5. Step 5: Solve for x
    x = 227,154,767,954.67/652,905.16
  6. Step 6: Final answer
    x = 347,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.